An urn contains marbles that are either red or blue. To test the null hypothesis of equal proportions of these colors, we agree to sample 64 marbles with replacement, noting the colors drawn, and to adopt the following decision rule: 10.29 Accept the null hypothesis if 28

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An urn contains marbles that are either red or blue.. To test the null hypothesis of equal proportions of these
colors, we agree to sample 64 marbles with replacement, noting the colors drawn, and to adopt the following
10.29
decision rule:
Accept the null hypothesis if 28 < X<36, where X number of red marbles in the 64.
Reject the null hypothesis if X < 27 or if X> 37.
(a) Find the probability of rejecting the null hypothesis when it is correet.
(b) Graph the decision rule and the res ult obtained in part (a).
Cs Scanned with CamScanner
Transcribed Image Text:An urn contains marbles that are either red or blue.. To test the null hypothesis of equal proportions of these colors, we agree to sample 64 marbles with replacement, noting the colors drawn, and to adopt the following 10.29 decision rule: Accept the null hypothesis if 28 < X<36, where X number of red marbles in the 64. Reject the null hypothesis if X < 27 or if X> 37. (a) Find the probability of rejecting the null hypothesis when it is correet. (b) Graph the decision rule and the res ult obtained in part (a). Cs Scanned with CamScanner
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